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If you do not know the square root of a really big number how do you know if its rational?
Wiki User
∙ 12y ago
Assuming your number is an integer: if the number is a perfect square, the number is of course an integer, and therefore rational. If the number is NOT a perfect square, it is irrational.
Wiki User
∙ 12y ago
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Can the square of an irrational number be rational?
The answer to this question confuses me. The square root of two is an irrational number, so obviously if the square root of two is squared it becomes two which is a rational number. Thinking of it that way then the answer is yes, the square of an irrational number can be a rational number. But . . . You had to know beforehand that the irrational number was the square root of another number. If you start out with an irrational number such as Pi you cannot square it because you cannot know the entire number in order to square it.
Is 11 squared rational or irrational?
It's the ratio of 121 to 1, so it's rational. I think the square of any rational number is a rational number. In fact, I'm sure of it, because I know how I could prove it.
How do you know if a square root is rational or irrational?
For a start, the square root of any integer is either an integer, or an irrational number.
How can you know that a number is rational?
A number is rational if it has a pattern or it comes to an end.
Is 1.1 rational or irrational?
1.1 is the ratio of 11 to 10. It's rational. rational comes from the word ratio, so if the number can be expressed as a ratio of one whole number divided by another whole number than it is a rational number. 11/10 is a rational number. when trying to decide if a number is rational or irrational (like on a test), often its hard to know right away if the number could be expressed as a ratio of two whole numbers. so here is another clue. an irrational number can never be written out entirely. not only does the number go on forever, but it goes on forever with a sequence of numbers that never repeats. so if you can write the entire number (like 1.01, or 1.000000001) or if the number repeats, (like .33 or .1428) then it is rational. in fact, if the number is written with a decimal point than you know its rational. because they cannot be written out entirely, irrational numbers have to be expressed as a square root of another number, or one number raised to a fractional power (any power that is not a whole number) all the rules summed up 1) number is a fraction (ei 1/3, 4/7, 16/2) - rational 2) number is written out (ei 1,2,3.0, 9.09, 1.00003) - rational 3) number is not completely written out but repeats (ei .33 or .1428) - rational 4) number is a square root of a square number (square numbers are 1,4,9,16,25,36,49, etc)- rational 5) number is a square root of a non-square number (non square numbers are all numbers except 1,4,9,16,25,36,49, etc)- irrational 6) number is rational number taken to a power that is a whole number - rational 7) number is any number taken to a power that is not a whole number - irrational
Can the square of an irrational number be rational?
The answer to this question confuses me. The square root of two is an irrational number, so obviously if the square root of two is squared it becomes two which is a rational number. Thinking of it that way then the answer is yes, the square of an irrational number can be a rational number. But . . . You had to know beforehand that the irrational number was the square root of another number. If you start out with an irrational number such as Pi you cannot square it because you cannot know the entire number in order to square it.
Is 11 squared rational or irrational?
It's the ratio of 121 to 1, so it's rational. I think the square of any rational number is a rational number. In fact, I'm sure of it, because I know how I could prove it.
How do you know if a square root is rational or irrational?
For a start, the square root of any integer is either an integer, or an irrational number.
Is the square root of -25 rational or irrational number?
The square root of 25 is 5. 5 is a rational number. A rational number is a whole integer, like 3 or 5 or -8. Also, 4.333333... is a rational number because we know exactly what the number is. We know the number is 4 and 1/3, nothing more, nothing less. An irrational number is a number that goes on and on, with no specific pattern. A famous irrational number is pi. 3.14159....... Another example would be 453.788192742917471085723.......... Or 2.10100100010000100000........
How can you know if a negative number is a rational number or not?
If its positive version is rational then it is rational and if not, it is not.
Is 0.39 a rational or irrational number?
rational
Is the number 50.856 a rational number?
Yes.Because you know where the decimals on the number end, it is a rational number. If you are just rounding the number, and it's really 50.85624861913756843168713843134313764673388 .... etc., with the decimals continuing forever without a pattern, then it is irrational.
How can you know that a number is rational?
A number is rational if it has a pattern or it comes to an end.
Is 1.1 rational or irrational?
1.1 is the ratio of 11 to 10. It's rational. rational comes from the word ratio, so if the number can be expressed as a ratio of one whole number divided by another whole number than it is a rational number. 11/10 is a rational number. when trying to decide if a number is rational or irrational (like on a test), often its hard to know right away if the number could be expressed as a ratio of two whole numbers. so here is another clue. an irrational number can never be written out entirely. not only does the number go on forever, but it goes on forever with a sequence of numbers that never repeats. so if you can write the entire number (like 1.01, or 1.000000001) or if the number repeats, (like .33 or .1428) then it is rational. in fact, if the number is written with a decimal point than you know its rational. because they cannot be written out entirely, irrational numbers have to be expressed as a square root of another number, or one number raised to a fractional power (any power that is not a whole number) all the rules summed up 1) number is a fraction (ei 1/3, 4/7, 16/2) - rational 2) number is written out (ei 1,2,3.0, 9.09, 1.00003) - rational 3) number is not completely written out but repeats (ei .33 or .1428) - rational 4) number is a square root of a square number (square numbers are 1,4,9,16,25,36,49, etc)- rational 5) number is a square root of a non-square number (non square numbers are all numbers except 1,4,9,16,25,36,49, etc)- irrational 6) number is rational number taken to a power that is a whole number - rational 7) number is any number taken to a power that is not a whole number - irrational
Is the Square root of 55 rational?
I don’t know
Is the square root of 96 rational?
I don’t know
How do you know if a whole number is rational or irrational?
It is always rational.
